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Lattice points, Ehrhart theory, and the relation to volumes

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Speaker: 
Reinier Kramer
Affiliation: 
MPIM
Date: 
Tue, 2019-10-22 10:00 - 11:30
Location: 
MPIM Seminar Room

Continuing from the previous session, we will define the valuation for exponential sums, a discrete analogue of exponential integrals, and obtain another version of Brion's theorem. We continue to Ehrhart theory, showing polynomiality of lattice counts for polytopes with fixed cones of feasible directions. Finally, we relate exponential sums and exponential integrals via an Euler-Maclaurin type formula.

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